Automorphisms of quantum and classical Poisson algebras
| dc.creator | Grabowski, Janusz | |
| dc.creator | Poncin, Norbert | |
| dc.date | 2002-11-11 | |
| dc.date.accessioned | 2026-07-07T06:21:45Z | |
| dc.date.available | 2026-07-07T06:21:45Z | |
| dc.description | We prove Pursell-Shanks type results for the Lie algebra D(M) of all linear differential operators of a smooth manifold M, for its Lie subalgebra D^1(M) of all linear first-order differential operators of M, and for the Poisson algebra S(M)=Pol(T*M) of all polynomial functions on the cotangent bundle T*M, the symbols of the operators in D(M). Chiefly however we provide explicit formulas describing completely the automorphisms of the Lie algebras D^1(M), S(M), and D(M). | |
| dc.description | LaTeX, 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0211175 | |
| dc.identifier | http://arxiv.org/abs/math/0211175 | |
| dc.identifier | Compositio Math. 140 (2004), 511-527. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95699 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 17B63 (Primary); 13N10, 16S32, 17B40, 17B65, 53D17 | |
| dc.title | Automorphisms of quantum and classical Poisson algebras | |
| dc.type | text |